Results 71 to 80 of about 113,113 (111)

Quadratic Relations and Oblong Parabolic Prime Sieve: A New Approach to Goldbach's Conjecture

This study expands the geometric tool known as the Parabolic Sieve of Primes (PSO) [12] by introducing the Oblong Parabolic Sieve of Primes with Offset (Oblong PSO).
Charles Kusniec
core   +1 more source

The solution of Goldbach conjecture

, 2023
Goldbach conjecture is proved to be not valid by comparing the cardinality of a set containing all the even integers of which every even integer is the sum of two odd primes, to that of the subsets of even integers, such as a subset of all the even integers that can factorized with a total of only three factors consisting of odd primes and at least one
openaire   +1 more source

Generalized Foulkes' Conjecture and Tableaux Construction [PDF]

, 2004
Foulkes conjectured that for n=ab and a ≤ b, every irreducible module occurring as a constituent in 1Sb∫SaSn occurs with greater or equal multiplicity in 1Sa∫SbSn.
Vessenes, Rebecca, Vessenes, Rebecca Angel   +1 more
core   +1 more source

Complex Hadamard matrices and the spectral set conjecture [PDF]

, 2006
By analyzing the connection between complex Hadamard matrices and spectral sets, we prove the direction "spectral double right arrow tile" of the Spectral Set Conjecture, for all sets A of size \A\
Kolountzakis, M. N., Matolcsi, Máté
core   +1 more source

On the Goldbach Conjecture

, 2013
Goldbach's conjecture, proposed in 1742, is one of the oldest open questions in mathematics. Much work has been done on the problem, and despite significant progress, a solution remains elusive.
King, Westin
core  

Prime Numbers and Gaps: A Unified Approach to Goldbach's Conjecture Using the Difference of Squares

This study explores the Goldbach Conjecture and the Twin Prime Conjecture using novel approaches rooted in the difference of squares. By analyzing the equations x_1= 4uv-2u-2v+1 and x_1=(2g-1)^2-(2t)^2, we demonstrate the existence of gaps in the ...
Charles Kusniec
core   +1 more source

Call for more rigorous research on savant syndrome. [PDF]

Arch Med Sci, 2011
Yamaguchi M.
europepmc   +1 more source

The Value Question in Metaphysics. [PDF]

Philos Phenomenol Res, 2012
Kahane G.
europepmc   +1 more source

Discovery, invention, and development: human creative thinking. [PDF]

Proc Natl Acad Sci U S A, 1983
Simon HA.
europepmc   +1 more source

The Insolubility of Sets of Diophantine Equations in the Rational Numbers. [PDF]

Proc Natl Acad Sci U S A, 1952
Ankeny NC.
europepmc   +1 more source